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Finding the Fourth Proportional to 10,499.68, 14,489.56 and 5,783.96

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Solution

The fourth proportional to 10,499.68, 14,489.56 and 5,783.96 is: 7,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.68 : 14,489.56 = 5,783.96 : x
  2. Step 2: Convert to fraction form
    10,499.68/14,489.56 = 5,783.96/x
  3. Step 3: Cross multiply
    10,499.68x = 14,489.56 × 5,783.96
  4. Step 4: Simplify right side
    10,499.68x = 83,807,035.46
  5. Step 5: Solve for x
    x = 83,807,035.46/10,499.68
  6. Step 6: Final answer
    x = 7,981.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.